User:CompactStar/Ordinal interval notation: Difference between revisions
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'''Lefts and rights notation''' is a notation for [[just intonation]] devised by [[User:CompactStar|CompactStar]]. | '''Lefts and rights notation''' is a notation for [[just intonation]] devised by [[User:CompactStar|CompactStar]]. Intervals are represented by a conventional interval notation with lefts and rights added. | ||
== Definition == | |||
To get the normal classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows: | |||
{|class="wikitable" | {|class="wikitable" | ||
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Revision as of 08:58, 26 November 2023
Lefts and rights notation is a notation for just intonation devised by CompactStar. Intervals are represented by a conventional interval notation with lefts and rights added.
Definition
To get the normal classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:
| Prime harmonic | Interval | ||
|---|---|---|---|
| 2/1 | P8 | perfect octave | C |
| 3/2 | P5 | perfect 5th | G |
| 5/4 | M3 | major 3rd | E |
| 7/4 | m7 | minor 7th | Bb |
| 11/8 | P4 | perfect 4th | F |
| 13/8 | m6 | minor 6th | Ab |
| 17/16 | m2 | minor 2nd | Db |
| 19/16 | m3 | minor 3rd | Eb |
| 23/16 | A4 | augmented 4th | F# |
| 29/16 | m7 | minor 7th | Bb |
| 31/16 | P8 | perfect octave | C |
| 37/32 | M2 | major 2nd | D |
| 41/32 | M3 | major 3rd | E |
| 43/32 | P4 | perfect 4th | F |
| 47/32 | P5 | perfect 5th | G |
| 53/32 | M6 | major 6th | A |
| 61/32 | M7 | major 7th | B |